Answer :
Answer:
x = 1
Step-by-step explanation:
[tex] {5}^{2x} - 2( {5}^{x} ) - 15 = 0[/tex]
[tex]( {5}^{x} {)}^{2} - 2 \times {5}^{x} - 15 = 0[/tex]
[tex] {t}^{2} - 2t - 15 = 0[/tex]
[tex] {5}^{x} t = - 3 \: \: .5[/tex]
[tex] {5}^{x} = 5[/tex]
[tex]x = 1[/tex]